IXL | Graph proportional relationships and find the slope

This summer, Brandon fulfilled a lifelong dream and traveled to Kenya. He took lots of photos and wants to put them all in his new photo album binder. First, he needs to buy album pages. Each album page holds 6

photos.

There is a proportional relationship between the number of album pages Brandon buys,

and the number of photos the album will hold,

Graph this relationship. Select two points to draw a line.

x-axis, Album pages, y-axis, Photos. Coordinate plane graph with 1 quadrants, x-axis coordinates from 0 to 10, y-axis coordinates from 0 to 10.

What is the slope of the line?

ref_doc_title.

Learn with an example

question

During the summer, Spencer works on his uncle's dairy farm. One of Spencer's many chores is to load bales of hay onto a wagon and haul them from the field into the barn. He can haul 8 bales of hay in each wagon

load.

There is a proportional relationship between the number of wagon

loads,

and the number of bales of hay Spencer can haul,

Graph this relationship. Select two points to draw a line.

What is the slope of the line?

key idea

The graph of a proportional relationship between

and

is a straight line passing through the origin

(

)

The slope of this line is equal to the unit rate of

solution

To graph the relationship, find two points that satisfy it and draw a line through them.

Since the relationship is proportional, the line passes through the point

(

)

In other words, if Spencer doesn't load the wagon (0 loads), he hauls no hay (0 bales).

To find another point, look for clues in the problem that describe the unit rate.

load.

8 bales per wagon load is the unit rate for this relationship. Whenever Spencer loads the wagon 1 more time, he can haul 8 additional bales of hay.

From

(

)

move 1 to the right and 8 up to plot

(

)

The line through

(

)

and

(

)

shows the proportional relationship.

The unit rate is 8 bales per wagon load. So, the slope of the line is 8.

Looking for more? Try these:

Lesson: Proportional relationships

Lesson: Slope

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Teacher tools

Work it out

Not feeling ready yet? These can help:

X.4Find the constant of proportionality from a graph

LL.3Graph points on a coordinate plane

Lesson: Proportional relationships

Lesson: Slope

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